Some observations on distribution of cross correlation of two nonbinary sequences

Let p be an odd prime, m an odd integer, d = (p^m + 1)^2/2(p + 1) and 0 < l < (p^m+1)/2. In this study we have considered cross correlation distribution of p-ary m-sequence m(t), with period p^(2m)-1, and its decimated sequences m(dt+l). In [1] authors had given possible values of cross correlation, as 9 di erent values for the case p = 3 and 11 di erent values for the case p > 3. For the case p = 3, m = 5 and all possible values of l we have given complete distribution table and observed that there are 8 di erent values in total. Note that it was stated in [1], this distribution has at most 9 values, that is we observe that the candidate -1 + ((1 + p)/2)p^m does not occur. Furthermore, for the case p = 3, m = 3 and l = (p^m+1)/4 we have observed that there are exactly 6 di erent values. In this case the distribution is di erent from the case l = 0.